DOI: 10.1016/0045-7949(93)90068-o. The DtN finite element method for elastic domains with cracks and re-entrant corners

The DtN finite element method for elastic domains with cracks and re-entrant corners

10.1016/0045-7949(93)90068-o

Crossref journal-article

Elsevier BV

Computers & Structures (78)

Bibliography

Givoli, D., & Rivkin, L. (1993). The DtN finite element method for elastic domains with cracks and re-entrant corners. Computers & Structures, 49(4), 633â642.

Authors 2

D. Givoli (first)
L. Rivkin (additional)

References 27 Referenced 26

{'key': '10.1016/0045-7949(93)90068-O_BIB1', 'series-title': 'Advanced Fracture Mechanics', 'author': 'Kanninen', 'year': '1985'} / Advanced Fracture Mechanics by Kanninen (1985)
{'key': '10.1016/0045-7949(93)90068-O_BIB2', 'series-title': 'Elementary Engineering Fracture Mechanics', 'author': 'Broek', 'year': '1986'} / Elementary Engineering Fracture Mechanics by Broek (1986)
{'key': '10.1016/0045-7949(93)90068-O_BIB3', 'series-title': 'Proc. ICASE Finite Element Theory and Application Workshop', 'first-page': '50', 'article-title': 'Singular finite element methods', 'author': 'Fix', 'year': '1986'} / Proc. ICASE Finite Element Theory and Application Workshop / Singular finite element methods by Fix (1986)
10.1007/BF01399326 / Numer. Math. / Direct and inverse error estimates for finite elements with mesh refinements by Babuška (1979)
10.1016/0045-7825(85)90076-3 / Comp. Meth. Appl. Mech. Engng / On an h-type mesh refinement strategy based on minimization of interpolation error by Demkowitz (1983)
10.1002/nme.1620200611 / Int. J. Numer. Meth. Engng / The post-processing approach in the finite element method—part 2: the calculation of stress intensity factors by Babuška (1984)
10.1016/0898-1221(84)90077-4 / Comp. Math. Applic. / On the accuracy of least square methods in the presence of corner singularities by Cox (1984)
10.1002/cnm.1630080304 / Comm. Appl. Numer. Meth. / On the convergence rate of an adaptive grid pattern for resolving point singularities in elliptic problems by Devloo (1992)
{'key': '10.1016/0045-7949(93)90068-O_BIB9', 'series-title': 'Mathematics of Finite Elements and Applications', 'article-title': 'Calculation of stress intensity factors at crack tips using special finite elements', 'author': 'Blackburn', 'year': '1973'} / Mathematics of Finite Elements and Applications / Calculation of stress intensity factors at crack tips using special finite elements by Blackburn (1973)
10.1016/0021-9991(73)90023-5 / J. Comp. Phys. / On the use of singular functions with finite element approximations by Fix (1973)
10.1002/nme.1620140307 / Int. J. Numer. Meth. Engng / Families of consistent conforming elements with singular derivative field by Stern (1979)
10.1002/nme.1620150509 / Int. J. Numer. Meth. Engng / Techniques for developing ‘special’ finite element shape functions with particular reference to singularities by Hughes (1980)
10.1002/nme.1620150907 / Int. J. Numer. Meth. Engng / Singular finite elements for the fracture analysis of V-notched plate by Lin (1980)
{'key': '10.1016/0045-7949(93)90068-O_BIB14', 'first-page': '341', 'article-title': 'On boundary integral equations for crack problems', 'volume': 'A421', 'author': 'Martin', 'year': '1989'} / On boundary integral equations for crack problems by Martin (1989)
{'key': '10.1016/0045-7949(93)90068-O_BIB15', 'article-title': 'Hypersingular boundary integral equations: their occurrence, interpretation, regularization and computation', 'volume': 'Vol. 7', 'author': 'Krishnasamy', 'year': '1991'} / Hypersingular boundary integral equations: their occurrence, interpretation, regularization and computation by Krishnasamy (1991)
10.1115/1.3173690 / J. Appl. Mech. / Scattering from three-dimensional planar cracks by the boundary integral equation method by Budreck (1988)
10.1016/0013-7944(89)90006-4 / Engng Fracture Mech. / Time-domain boundary element analysis of dynamic near-tip fields for impact-loaded collinear cracks by Zhang (1989)
10.1137/0728039 / SIAM J. Numer. Anal. / An adapted boundary element method for the Dirichlet problem in polygonal domains by Bourlard (1991)
10.1002/nme.1620350611 / Int. J. Numer. Meth. Engng / A finite element method for domains with corners by Givoli (1992)
10.1016/0045-7825(89)90140-0 / Comp. Meth. Appl. Mech. Engng / A finite element method for large domains by Givoli (1989)
10.1016/0021-9991(89)90041-7 / J. Comp. Phys. / An exact non-reflecting boundary condition by Keller (1988)
10.1016/0045-7825(92)90084-W / Comp. Meth. Appl. Mech. Engng / A spatially exact non-reflecting boundary condition for time dependent problems by Givoli (1992)
10.1016/0045-7825(91)90146-W / Comp. Meth. Appl. Mech. Engng / Finite element methods for the Helmholtz equation in an exterior domain: model problems by Harari (1991)
10.1137/0725044 / SIAM J. Numer. Anal. / The localized finite element method and its application to the 2D sea-keeping problem by Lenoir (1988)
K. G. Ayappa, H. T. Davis, E. A. Davis and J. Gordon, 2D finite element analysis of microwave heating. AIChE Jnl, to be published.
A. Greenbaum, L. Greengard and G. B. McFadden, Laplace's equation and the Dirichlet-Neumann map in multiply connected domains. J. Comp. Phys., to be published. (10.1006/jcph.1993.1073)
{'key': '10.1016/0045-7949(93)90068-O_BIB27', 'series-title': 'Theory of Elasticity', 'author': 'Landau', 'year': '1986'} / Theory of Elasticity by Landau (1986)

Dates

Type	When
Created	22 years, 5 months ago (March 14, 2003, 10:50 a.m.)
Deposited	6 years, 5 months ago (March 26, 2019, 1:57 p.m.)
Indexed	1 month ago (Aug. 6, 2025, 8 a.m.)
Issued	31 years, 10 months ago (Nov. 1, 1993)
Published	31 years, 10 months ago (Nov. 1, 1993)
Published Print	31 years, 10 months ago (Nov. 1, 1993)

Funders 0

None

BibTeX

@article{Givoli_1993, title={The DtN finite element method for elastic domains with cracks and re-entrant corners}, volume={49}, ISSN={0045-7949}, url={http://dx.doi.org/10.1016/0045-7949(93)90068-o}, DOI={10.1016/0045-7949(93)90068-o}, number={4}, journal={Computers & Structures}, publisher={Elsevier BV}, author={Givoli, D. and Rivkin, L.}, year={1993}, month=nov, pages={633–642} }

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